Complex Numbers Flashcards by David Wheeler | Brainscape

Flashcards in Complex Numbers Deck (6)

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1

Give the cartesian form of a complex number

z = x + iy

2

Give the polar form of a complex number

r = e^iθ

r = modulus/absolute value/magnitude. |z| = √(x²+y²)

tanθ = (y/x). Draw out diagrams!!

3

Define i

i² = -1

i is the square root of -1

4

Define the modulus of a complex number, r

Also known as the magnitude or absolute value.

r = √x² + y²

5

Define the argument of a complex number

θ is the argument.

θ = tan^-1(y/x)

6

Describe the process of finding roots

By multiplying r by e^2nπi before taking roots, all solutions to the equation can be found